Geometrical properties of orthogonal space-time codes

Schulze, H.

doi:10.1109/lcomm.2002.807431

Cited by 7 publications

(12 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2 s , which is the Euclidean distance square between codewords in the "space-time sphere," should be maximized [19], [45], [46]. This criterion is similar to that in SISO systems, where the distances between signal points on the complex plane are maximized [39].…”

Section: Performance-related Properties Of Stbcsmentioning

confidence: 99%

See 1 more Smart Citation

Self-Matching Space-Time Block Codes for Matrix Kalman Estimator-Based ML Detector in MIMO Fading Channels

Lam

Plataniotis

Pasupathy

2007

IEEE Trans. Veh. Technol.

View full text Add to dashboard Cite

Abstract-This paper presents a unifying framework for designing a joint channel-estimation-and-data-detection (CE/DD) scheme and space-time block code (STBC) that improves the performances in a multiple-input-multiple-output (MIMO) slow flat Rayleigh fading channel. Modeling the channel using the continuous-fading model, a matrix state-space model, which naturally represents the temporal and spatial dimensions of a MIMO system, is introduced. A consistent and novel matrix CE/DD scheme is developed using a matrix Kalman filter and a matrix normalized-innovations-based maximum-likelihood detector. In MIMO CE/DD in multiplicative fading, symmetric STBCs (S-STBCs) cause isometric data sequences, which lead to a detection error floor. Motivated by the minimization of the probability of error, two asymmetric STBCs are introduced to be used with these S-STBCs to mitigate isometry. To further improve detection performance, a self-matching STBC (SM-STBC), which mitigates isometry using asymmetry, improves estimation performance using training, and improves detection performance by adapting its code properties, is introduced. This SM-STBC generalizes a limited version that was previously proposed. A comprehensive analysis, which is supported by some simulation studies, indicates that the proposed framework of transceiver and STBC designs offers excellent detection performance.Index Terms-Asymmetric space-time block code (STBC), continuous-fading model (CFM), innovations, matrix Kalman filtering, self-matching STBC (SM-STBC).

show abstract

Section: Performance-related Properties Of Stbcsmentioning

confidence: 99%

“…Algorithm 2: Group STBC can be seen as generalized PSK in the space-time domain [46]. Hence, [39, Alg.…”

Section: Remark-tradeoff With Algorithmmentioning

confidence: 99%

Self-Matching Space-Time Block Codes for Matrix Kalman Estimator-Based ML Detector in MIMO Fading Channels

Lam

Plataniotis

Pasupathy

2007

IEEE Trans. Veh. Technol.

View full text Add to dashboard Cite

show abstract

“…Traditionally, only distance properties of STBC matrices have been investigated [17]- [19]. However, the results that would report the distance properties of signal coordinate diagrams are lacking even for the simplest STBCs.…”

Section: Examples Of Euclidean Codes Equivalent To Simplest Stbcsmentioning

confidence: 99%

“…Similarly, although the distance properties of STBCs have been investigated in some previous research works [17]- [19], the distance properties of STBC signal constellations have not attracted any attention. Indeed, existing results on the distance properties of orthogonal STBCs aim at verifying the resilience properties of the codes, where a multidimensional constellation is said to be resilient in flat fading if it retains its shape when its points are subject to the multiplicative distortion associated with fading coefficients [20].…”

Section: Introductionmentioning

confidence: 99%

“…The model exploits a connection found between the distance properties of STBCs and the distance properties of Euclidean codes, which allows viewing certain Euclidean codes as equivalent codes to STBCs. This connection brings insights into STBCs since Euclidean codes fall under the classic theory of error correcting codes [17]. This connection enables one to formulate a new general criterion for designing optimal STBCs with arbitrary constituent signals for the case of large signalto-noise ratios (SNRs).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Euclidean and Space–Time Block Codes: Relationship, Optimality, Performance Analysis Revisited

Geyer¹,

Nikjah²,

Vorobyov

et al. 2015

IEEE Trans. Commun.

View full text Add to dashboard Cite

An equivalent model for a multiple-input multipleoutput communication system with space-time block codes (STBCs) is proposed based on a revealed connection between STBCs and Euclidean codes. Examples of distance spectra, signal constellations, and signal coordinate diagrams of Euclidean codes equivalent to simplest orthogonal STBCs are given. A new asymptotic upper bound for the symbol error rate (SER) of STBCs, based on the distance spectra of the equivalent Euclidean codes, is derived, and new general design criteria for signal constellations of the optimal code are proposed. Some bounds relating distance properties, dimensionality, and cardinality of STBCs with constituent signals of equal energy are given, and new signal constellations with cardinalities 8 and 16 for Alamouti's code are designed. A general methodology for performance analysis of STBCs is revisited. As an example of the application of this methodology, an exact evaluation of the SER of an orthogonal STBC is given. Namely, a new expression for the SER of Alamouti's code with binary phase shift keying signals is derived.

show abstract

Aerosol sampling and sample preparation for elemental analysis

Hlavay¹

2003

Comprehensive Analytical Chemistry

View full text Add to dashboard Cite

Geometrical properties of orthogonal space-time codes

Cited by 7 publications

References 8 publications

Self-Matching Space-Time Block Codes for Matrix Kalman Estimator-Based ML Detector in MIMO Fading Channels

Self-Matching Space-Time Block Codes for Matrix Kalman Estimator-Based ML Detector in MIMO Fading Channels

Euclidean and Space–Time Block Codes: Relationship, Optimality, Performance Analysis Revisited

Aerosol sampling and sample preparation for elemental analysis

Contact Info

Product

Resources

About